Zitterbewegung, internal momentum and spin of the circular travelling wave electromagnetic electron

TL;DR

This paper presents a model where the electron is described as a circular traveling electromagnetic wave with internal momentum and spin, naturally explaining Zitterbewegung and aligning with experimental resonance observations.

Contribution

It introduces a novel electromagnetic wave model of the electron that accounts for its internal momentum, spin, and Zitterbewegung phenomena, linking classical EM theory with quantum mechanics.

Findings

Electron modeled as a circular EM wave with internal momentum

Model explains Zitterbewegung and electron spin as natural consequences

Accurately matches experimental resonance data at 161.784 MeV/c

Abstract

The study of this paper demonstrates that electron has Dirac delta like internal momentum (u,p_{{\theta}}), going round in a circle of radius equal to half the reduced Compton wavelength of electron with tangential velocity c. The circular momentum p_{{\theta}} and energy u emanate from circular Dirac delta type rotating monochromatic electromagnetic (EM) wave that itself travels in another circle having radius equal to the reduced Compton wavelength of electron. The phenomenon of Zitterbewegung and the spin of electron are the natural consequences of the model. The spin is associated with the internal circulating momentum of electron in terms of four component spinor, which leads to the Dirac equation linking the EM electron model with quantum mechanical theory. Our model accurately explains the experimental results of electron channelling experiment, [P. Catillon et al., Found.Phys. 38, 659 (2008)], in which the momentum resonance is observed at 161.784MeV/c corresponding to Zitterbewegung frequency of 80.874MeV/c electron beam.